Question

For carbon- 14 and carbon- 12, how many protons and neutrons are in each nucleus? Assuming neutral atoms, how many electrons are present in an atom of carbon- 14 and in an atom of carbon- \(12 ?\)

Short answer

For Carbon-12 and Carbon-14 isotopes, both have 6 protons and 6 electrons in each nucleus, as the atomic number of carbon is 6. However, Carbon-12 has 6 neutrons (\( 12 - 6 = 6 \) neutrons), and Carbon-14 has 8 neutrons (\( 14 - 6 = 8 \) neutrons).

Step-by-step solution

Carbon Atomic Number and Atomic Mass

To determine the number of protons, neutrons, and electrons in carbon isotopes, we first need to know the atomic number (Z) and atomic mass (A) of carbon. The atomic number of carbon is 6, which means that it has 6 protons in its nucleus.

Carbon-12 Isotope

In the case of Carbon-12, the atomic mass is 12 (6 protons + 6 neutrons). Since the atomic number is 6, we know that the number of protons is 6. Hence, to find the number of neutrons, we subtract the atomic number from the atomic mass: \( 12 - 6 = 6 \) neutrons.

Carbon-14 Isotope

In the case of Carbon-14, the atomic mass is 14 (6 protons + 8 neutrons). Since the atomic number is 6, we know that the number of protons is 6. To find the number of neutrons, we subtract the atomic number from the atomic mass: \( 14 - 6 = 8 \) neutrons.

Electron Count for Neutral Atoms

In the case of neutral atoms, the number of electrons is equal to the number of protons. Therefore, both Carbon-12 and Carbon-14 will have 6 electrons each. From the steps above, we can conclude the following: Carbon-12: - 6 protons - 6 neutrons - 6 electrons (assuming a neutral atom) Carbon-14: - 6 protons - 8 neutrons - 6 electrons (assuming a neutral atom)

Key concepts

Nuclear Chemistry

Nuclear chemistry is a branch of chemistry that deals with the transformations and reactions happening in atomic nuclei. It involves studying the isotopes of elements, which are atoms with the same number of protons but different numbers of neutrons. These variations can bring about different nuclear properties. In nuclear chemistry, isotopes are essential for understanding radioactivity and nuclear reactions. For example, carbon-14 is widely known for its use in radiocarbon dating. This isotope of carbon has two extra neutrons compared to the more stable carbon-12, which makes it radioactive. Understanding nuclear chemistry helps scientists exploit isotopes in medicine and energy production.

Atomic Number

The atomic number is a fundamental property of an element. It is denoted by the symbol Z and tells us how many protons are in the nucleus of an atom. For carbon, the atomic number is 6. This means every carbon atom, regardless of the isotope, will have six protons.

• The atomic number is crucial as it determines the element's identity.
• All atoms with six protons are considered carbon atoms.
• If an atom has a different number of protons, it belongs to a different element.

Understanding the atomic number is essential in distinguishing between different elements, especially when studying the periodic table, as it increases sequentially from one element to the next.

Atomic Mass

Atomic mass, often denoted by A, is the total number of protons and neutrons in the nucleus of an atom. It provides a way to differentiate between different isotopes of the same element. For instance, carbon-12 has an atomic mass of 12, while carbon-14's mass is 14.

• The atomic mass essentially reflects the isotope's mass number.
• The difference in mass between isotopes lies in their neutron count.
• It is crucial for calculations like molecular weight and chemical reactions.

Atomic mass is not to be confused with atomic weight, which generally refers to the weighted average of isotopic masses for a given element as found naturally.

Proton and Neutron Count

Protons and neutrons make up the nucleus of an atom, and their count defines the isotope of an element. Protons have a positive charge and determine the atomic number, while neutrons are neutral and affect the isotope's mass. For carbon isotopes:

• Carbon-12 has 6 protons and 6 neutrons.
• Carbon-14 has 6 protons but 8 neutrons.

The different neutron count is what makes carbon-14 radioactive, while carbon-12 is stable. Understanding the proton and neutron count is critical when exploring concepts like nuclear stability and decay. It also has implications in fields such as nuclear medicine and energy, where specific isotopes are used for their unique properties.